I am trying to calculate the area of lots (Real Estate). Drawings only show the four sides with no angles. Many are not parallelograms. Is there a way to calculate the area from only the lengths of the four sides? Inspection and common sense would say not, but one of you math geniuses may have an answer...
Thanks.
2007-01-28 05:37:34 · 3 answers · asked by flyfisher 1 in Science & Mathematics ➔ Mathematics
With only 4 side information you can not define a specific quadrilateral. However, you have the drawings. If the drawings are to scale, then you can measure the diagonals of a lot and use that information to calculate the area.
Use Bretschneider's Formula
k = (1/4) radical [ 4p^2q^2 - (b^2+d^2-a^2-c^2)^2 ]
where a, b, c, d are sides of the quadrilateral and p, q are diagonals
2007-01-28 06:29:09 · answer #1 · answered by ignoramus_the_great 7 · 0⤊ 0⤋
Common sense is right. The answer is no. Just deform a parallelogram with given sides. You get 0 area...
2007-01-28 13:43:59 · answer #2 · answered by gianlino 7 · 2⤊ 0⤋
Given a triangle ABC
the area = sqrt[(s(s-a)(s-b)(s-c)]
where s=(a+b+c)/2
2007-01-28 14:35:20 · answer #3 · answered by Paul B 3 · 1⤊ 0⤋